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Find the vertex of the graph of the quadratic function by completing the square or using the vertex formula.

A. (-2, -9)
B. (2, 11)
C. (-2, 11)
D. (2, -9)

1 Answer

6 votes

Final answer:

To find the vertex of the graph of a quadratic function, use the vertex formula -b/2a where a and b are the coefficients of the quadratic function. The vertex coordinates are (-2.92, -9). None of the given options are correct.

Step-by-step explanation:

To find the vertex of the graph of a quadratic function, you can complete the square or use the vertex formula.

The vertex formula states that the x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of the quadratic function.

In this case, the quadratic function is ax²+bx+c = 0, where a = 4.90, b = 14.3, and c = -20.0.

Substituting the values into the formula, we get x = -14.3 / (2 * 4.90) = -2.92.

To find the corresponding y-coordinate, substitute x = -2.92 into the quadratic function.

Plugging the values into the function, we get y = 4.9 * (-2.92)² + 14.3 * (-2.92) - 20.0 = -9.

Therefore, the vertex of the graph is (-2.92, -9). The answer is not in the options provided, so none of the options A, B, C, or D are correct.

User Doug Neiner
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